All Stories

  1. Radial basis function and multi-level 2D vector field approximation

    Article • Mathematics and Computers in Simulation, March 2021, Elsevier

    Prof. Vaclav Skala

  2. Why Is the Least Square Error Method Dangerous?

    Article • Computación y Sistemas, February 2021, Instituto Politecnico Nacional/Centro de Investigacion en Computacion

    Prof. Vaclav Skala

  3. Efficient Taylor expansion computation of multidimensional vector functions on GPU

    Article • Annales Mathematicae et Informaticae, January 2021, Annales Mathematicae et Informaticae - AMI

    Prof. Vaclav Skala

  4. Optimized line and line segment clipping in E2 and Geometric Algebra

    Article • Annales Mathematicae et Informaticae, May 2020, Annales Mathematicae et Informaticae - AMI

    Prof. Vaclav Skala

  5. Construction of new cubic Bézier-like triangular patches with application in scattered data interpolation

    Article • Advances in Difference Equations, April 2020, Springer Science + Business Media

    Prof. Vaclav Skala

  6. Behavioral Study of Various Radial Basis Functions for Approximation and Interpolation Purposes

    Article • January 2020, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  7. Conditionality Analysis of the Radial Basis Function Matrix

    Article • January 2020, Springer Science + Business Media

    Prof. Vaclav Skala

  8. Conditionality of Linear Systems of Equation and Matrices Using Projective Geometric Algebra

    Article • January 2020, Springer Science + Business Media

    Prof. Vaclav Skala

  9. Diameter and Convex Hull of Points Using Space Subdivision in E2 and E3

    Article • January 2020, Springer Science + Business Media

    Prof. Vaclav Skala

  10. Efficient Speed-Up of Radial Basis Functions Approximation and Interpolation Formula Evaluation

    Article • January 2020, Springer Science + Business Media

    Prof. Vaclav Skala

  11. Finding Points of Importance for Radial Basis Function Approximation of Large Scattered Data

    Article • January 2020, Springer Science + Business Media

    Prof. Vaclav Skala

  12. Fuzzy Regression Model to Predict Daily Global Solar Radiation

    Article • January 2020, Springer Science + Business Media

    Prof. Vaclav Skala

  13. Radial Basis Function Approximation Optimal Shape Parameters Estimation

    Article • January 2020, Springer Science + Business Media

    Prof. Vaclav Skala

  14. Algorithm for placement of reference points and choice of an appropriate variable shape parameter for the RBF approximation

    Article • Integrated Computer-Aided Engineering, November 2019, IOS Press

    Prof. Vaclav Skala

  15. Modified Radial Basis Functions Approximation Respecting Data Local Features

    Article • November 2019, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  16. Novel RBF Approximation Method Based on Geometrical Properties for Signal Processing with a New RBF Function: Experimental Comparison

    Article • November 2019, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  17. Reconstruction of Corrupted Vector Fields using Radial Basis Functions

    Article • November 2019, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  18. Visualizing the Energy of Scattered Data by Using Cubic Timmer Triangular Patches

    Article • Journal of Physics Conference Series, November 2019, Institute of Physics Publishing

    Prof. Vaclav Skala

  19. Efficient Visualization of Scattered Energy Distribution Data by Using Cubic Timmer Triangular Patches

    Article • October 2019, Springer Science + Business Media

    Prof. Vaclav Skala

  20. NEW CUBIC TIMMER TRIANGULAR PATCHES WITH C¹ AND G¹ CONTINUITY

    Article • Jurnal Teknologi (Sciences & Engineering), September 2019, Penerbit UTM Press

    Prof. Vaclav Skala

  21. A New Simple, Fast and Robust Total Least Square Error Computation in E2: Experimental Comparison

    Article • April 2019, Springer Science + Business Media

    Prof. Vaclav Skala

  22. A New Strategy for Scattered Data Approximation Using Radial Basis Functions Respecting Points of Inflection

    Article • January 2019, Springer Science + Business Media

    Prof. Vaclav Skala

  23. Efficient Simple Large Scattered 3D Vector Fields Radial Basis Functions Approximation Using Space Subdivision

    Article • January 2019, Springer Science + Business Media

    Prof. Vaclav Skala

  24. Incremental Meshfree Approximation of Real Geographic Data

    Article • January 2019, Springer Science + Business Media

    Prof. Vaclav Skala

  25. Range-Restricted Surface Interpolation Using Rational Bi-Cubic Spline Functions With 12 Parameters

    Article • IEEE Access, January 2019, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  26. Simple and Fast Oexp(N) Algorithm for Finding an Exact Maximum Distance in E2 Instead of O(N^2) or O(N lgN)

    Article • January 2019, Springer Science + Business Media

    Prof. Vaclav Skala

  27. Geometric Product for Multidimensional Dynamical Systems - Laplace Transform and Geometric Algebra

    Article • December 2018, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  28. Vector field radial basis function approximation

    Article • Advances in Engineering Software, September 2018, Elsevier

    Prof. Vaclav Skala

  29. Determination of Stationary Points and Their Bindings in Dataset Using RBF Methods

    Article • August 2018, Springer Science + Business Media

    Prof. Vaclav Skala

  30. A New Formulation of Plücker Coordinates Using Projective Representation

    Article • August 2018, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  31. A New Approach to Vector Field Interpolation, Classification and Robust Critical Points Detection Using Radial Basis Functions

    Article • May 2018, Springer Science + Business Media

    Prof. Vaclav Skala

  32. Large scattered data interpolation with radial basis functions and space subdivision

    Article • Integrated Computer-Aided Engineering, December 2017, IOS Press

    Prof. Vaclav Skala

  33. Big geo data surface approximation using radial basis functions: A comparative study

    Article • Computers & Geosciences, December 2017, Elsevier

    Prof. Vaclav Skala

  34. Radial basis function approximations: comparison and applications

    Article • Applied Mathematical Modelling, November 2017, Elsevier

    Prof. Vaclav Skala

  35. Least Square Method Robustness of Computations: What is not usually considered and taught

    Article • September 2017, Polish Information Processing Society PTI

    Prof. Vaclav Skala

  36. Geometric Algebra, Extended Cross-Product and Laplace Transform for Multidimensional Dynamical Systems

    Article • September 2017, Springer Science + Business Media

    Prof. Vaclav Skala

  37. RBF Approximation of Big Data Sets with Large Span of Data

    Article • August 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  38. Classification of Critical Points Using a Second Order Derivative

    Article • Procedia Computer Science, January 2017, Elsevier

    Prof. Vaclav Skala

  39. High Dimensional and Large Span Data Least Square Error: Numerical Stability and Conditionality

    Article • International Journal of Applied Physics and Mathematics, January 2017, International Academy Publishing (IAP)

    Prof. Vaclav Skala

  40. Projective geometry, duality and Plücker coordinates for geometric computations with determinants on GPUs

    Article • January 2017, American Institute of Physics

    Prof. Vaclav Skala

  41. RBF Interpolation with CSRBF of Large Data Sets

    Article • Procedia Computer Science, January 2017, Elsevier

    Prof. Vaclav Skala

  42. Spherical RBF vector field interpolation: Experimental study

    Article • January 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  43. Vector Field Second Order Derivative Approximation and Geometrical Characteristics

    Article • January 2017, Springer Science + Business Media

    Prof. Vaclav Skala

  44. Reducing the Number of Points on the Convex Hull Calculation Using the Polar Space Subdivision in E2

    Article • October 2016, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  45. Plücker Coordinates and Extended Cross Product for Robust and Fast Intersection Computation

    Article • June 2016, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  46. Total Least Square Error Computation in E2

    Article • June 2016, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  47. “Extended Cross-Product” and Solution of a Linear System of Equations

    Article • January 2016, Springer Science + Business Media

    Prof. Vaclav Skala

  48. A Comparative Study of LOWESS and RBF Approximations for Visualization

    Article • January 2016, Springer Science + Business Media

    Prof. Vaclav Skala

  49. A new formulation for total least square error method in d-dimensional space with mapping to a parametric line

    Article • January 2016, American Institute of Physics

    Prof. Vaclav Skala

  50. Point-in-convex polygon and point-in-convex polyhedron algorithms with O(1) complexity using space subdivision

    Article • January 2016, American Institute of Physics

    Prof. Vaclav Skala

  51. Space subdivision to speed-up convex hull construction in E3

    Article • Advances in Engineering Software, January 2016, Elsevier

    Prof. Vaclav Skala

  52. A new robust algorithm for computation of a triangle circumscribed sphere in E3 and a hypersphere simplex

    Article • January 2016, American Institute of Physics

    Prof. Vaclav Skala

  53. A new approach to line – sphere and line – quadrics intersection detection and computation

    Article • January 2015, American Institute of Physics

    Prof. Vaclav Skala

  54. A Point in Non-convex Polygon Location Problem Using the Polar Space Subdivision in E2

    Article • January 2015, Springer Science + Business Media

    Prof. Vaclav Skala

  55. Fast Algorithm for Finding Maximum Distance with Space Subdivision in E2

    Article • January 2015, Springer Science + Business Media

    Prof. Vaclav Skala

  56. Highly Parallel Algorithm for Large Data In–Core and Out–Core Triangulation in E 2 and E 3

    Article • Procedia Computer Science, January 2015, Elsevier

    Prof. Vaclav Skala

  57. A new approach to hash function construction for textual data: A comparison

    Article • December 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  58. GPU fast and robust computation for barycentric coordinates and intersection of planes using projective representation

    Article • December 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  59. Fast Parallel Triangulation Algorithm of Large Data Sets in E2 and E3 for In-Core and Out-Core Memory Processing

    Article • January 2014, Springer Science + Business Media

    Prof. Vaclav Skala

  60. Geometric Transformations and Duality for Virtual Reality and Haptic Systems

    Article • January 2014, Springer Science + Business Media

    Prof. Vaclav Skala

  61. In-core and out-core memory fast parallel triangulation algorithm for large data sets in E2and E3

    Article • January 2014, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  62. Making 3D Replicas Using a Flatbed Scanner and a 3D Printer

    Article • January 2014, Springer Science + Business Media

    Prof. Vaclav Skala

  63. Simple 3D surface reconstruction using flatbed scanner and 3D print

    Article • November 2013, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  64. Fast reconstruction of corrupted images and videos by radial basis functions

    Article • November 2013, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  65. Normal Map Acquisition of Nearly Flat Objects Using a Flatbed Scanner

    Article • September 2013, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  66. Globally optimal rotation alignment of spherical surfaces with associated scalar values

    Article • 3D Research, July 2013, Springer Science + Business Media

    Prof. Vaclav Skala

  67. Fast Oexpected(N) algorithm for finding exact maximum distance in E2 instead of O(N2) or O(N lgN)

    Article • January 2013, American Institute of Physics

    Prof. Vaclav Skala

  68. Modified Gaussian elimination without division operations

    Article • January 2013, American Institute of Physics

    Prof. Vaclav Skala

  69. New geometric continuity solution of parametric surfaces

    Article • January 2013, American Institute of Physics

    Prof. Vaclav Skala

  70. Projective geometry and duality for graphics, games and visualization

    Article • November 2012, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  71. S-clip E 2

    Article • November 2012, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  72. Continuous global optimization in surface reconstruction from an oriented point cloud

    Article • Computer-Aided Design, August 2011, Elsevier

    Prof. Vaclav Skala

  73. Surface reconstruction with higher-order smoothness

    Article • The Visual Computer, June 2011, Springer Science + Business Media

    Prof. Vaclav Skala

  74. A Perception Correlated Comparison Method for Dynamic Meshes

    Article • IEEE Transactions on Visualization and Computer Graphics, February 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Dr Libor Vasa, Prof. Vaclav Skala

  75. A two-level approach to implicit surface modeling with compactly supported radial basis functions

    Article • Engineering With Computers, November 2010, Springer Science + Business Media

    Prof. Vaclav Skala

  76. Geometry‐Driven Local Neighbourhood Based Predictors for Dynamic Mesh Compression

    Article • Computer Graphics Forum, September 2010, Wiley

    Dr Libor Vasa, Prof. Vaclav Skala

  77. Influence of essential parameters on the RBF based image reconstruction

    Article • January 2010, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  78. Progressive RBF interpolation

    Article • January 2010, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  79. COBRA: Compression of the Basis for PCA Represented Animations

    Article • Computer Graphics Forum, September 2009, Wiley

    Dr Libor Vasa, Prof. Vaclav Skala

  80. Detail-driven digital hologram generation

    Article • The Visual Computer, July 2009, Springer Science + Business Media

    Prof. Vaclav Skala

  81. Combined compression and simplification of dynamic 3D meshes

    Article • Computer Animation and Virtual Worlds, July 2009, Wiley

    Dr Libor Vasa, Prof. Vaclav Skala

  82. Cross-talk measurement for 3D dispalays

    Article • May 2009, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  83. RBF-based image restoration utilising auxiliary points

    Article • January 2009, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  84. Space and time efficient isosurface extraction

    Article • Computers & Graphics, December 2008, Elsevier

    Prof. Vaclav Skala

  85. INTERSECTION COMPUTATION IN PROJECTIVE SPACE USING HOMOGENEOUS COORDINATES

    Article • International Journal of Image and Graphics, October 2008, World Scientific Pub Co Pte Lt

    Prof. Vaclav Skala

  86. Barycentric coordinates computation in homogeneous coordinates

    Article • Computers & Graphics, February 2008, Elsevier

    Prof. Vaclav Skala

  87. Implicit Surface Modeling Suitable for Inside/Outside Tests with Radial Basis Functions

    Article • October 2007, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  88. CODDYAC: Connectivity Driven Dynamic Mesh Compression

    Article • May 2007, Institute of Electrical & Electronics Engineers (IEEE)

    Dr Libor Vasa, Prof. Vaclav Skala

  89. Full-Parallax Hologram Synthesis of Triangular Meshes using a Graphical Processing Unit

    Article • May 2007, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  90. HPO Hologram Synthesis for Full-Parallax Reconstruction Setup

    Article • May 2007, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  91. Iso-contouring in time-varying meshes

    Article • January 2007, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  92. Polygonisation of disjoint implicit surfaces by the adaptive edge spinning algorithm of implicit objects

    Article • International Journal of Computational Science and Engineering, January 2007, Inderscience Publishers

    Prof. Vaclav Skala

  93. LENGTH, AREA AND VOLUME COMPUTATION IN HOMOGENEOUS COORDINATES

    Article • International Journal of Image and Graphics, October 2006, World Scientific Pub Co Pte Lt

    Prof. Vaclav Skala

  94. A Spatio-temporal Metric for Dynamic Mesh Comparison

    Article • January 2006, Springer Science + Business Media

    Dr Libor Vasa, Prof. Vaclav Skala

  95. Mesh simplification with respect to a model appearance

    Article • January 2006, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  96. Scanline rendering of digital HPO holograms and hologram numerical reconstruction

    Article • January 2006, ACM (Association for Computing Machinery)

    Prof. Vaclav Skala

  97. A new approach to line and line segment clipping in homogeneous coordinates

    Article • The Visual Computer, September 2005, Springer Science + Business Media

    Prof. Vaclav Skala

  98. Polygonization of implicit surfaces with sharp features by edge-spinning

    Article • The Visual Computer, May 2005, Springer Science + Business Media

    Prof. Vaclav Skala

  99. Edge spinning algorithm for implicit surfaces

    Article • Applied Numerical Mathematics, June 2004, Elsevier

    Prof. Vaclav Skala

  100. Combinatories and Triangulations

    Article • January 2004, Springer Science + Business Media

    Prof. Vaclav Skala

  101. Curvature Dependent Polygonization by the Edge Spinning

    Article • January 2004, Springer Science + Business Media

    Prof. Vaclav Skala

  102. Surface Curvature Estimation for Edge Spinning Algorithm

    Article • January 2004, Springer Science + Business Media

    Prof. Vaclav Skala

  103. Hash functions and triangular mesh reconstruction

    Article • Computers & Geosciences, July 2003, Elsevier

    Prof. Vaclav Skala

  104. Hash function use for triangular mesh reconstruction

    Article • July 2002, SPIE

    Prof. Vaclav Skala

  105. Editorial to the Special Issue on WSCG’01

    Article • The Visual Computer, June 2002, Springer Science + Business Media

    Prof. Vaclav Skala

  106. Fast Algorithm for Triangular Mesh Simplification Based on Vertex Decimation

    Article • January 2002, Springer Science + Business Media

    Prof. Vaclav Skala

  107. Extension of the Nicholls-Lee-Nichols algorithm to three dimensions

    Article • The Visual Computer, June 2001, Springer Science + Business Media

    Prof. Vaclav Skala

  108. Fast algorithms for clipping lines and line segments in E 2

    Article • The Visual Computer, April 1998, Springer Science + Business Media

    Prof. Vaclav Skala

  109. A fast algorithm for line clipping by convex polyhedron in E3

    Article • Computers & Graphics, March 1997, Elsevier

    Prof. Vaclav Skala

  110. Line clipping in E2 with O(1) processing complexity

    Article • Computers & Graphics, July 1996, Elsevier

    Prof. Vaclav Skala

  111. An Efficient Algorithm for Line Clipping by Convex and Non-convex Polyhedra in E3

    Article • Computer Graphics Forum, February 1996, Wiley

    Prof. Vaclav Skala

  112. O(lgN) line clipping algorithm in E2

    Article • Computers & Graphics, July 1994, Elsevier

    Prof. Vaclav Skala

  113. An efficient algorithm for line clipping by convex polygon

    Article • Computers & Graphics, July 1993, Elsevier

    Prof. Vaclav Skala

  114. Algorithms for Clipping Quadratic Arcs

    Article • January 1990, Springer Science + Business Media

    Prof. Vaclav Skala

  115. An Intersecting Modification to the Bresenham Algorithm

    Article • Computer Graphics Forum, December 1987, Wiley

    Prof. Vaclav Skala

  116. 3D Shape Recovery and Tracking from Multi-Camera Video Sequences via Surface Deformation

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  117. RADIAL BASIS FUNCTION USE FOR THE RESTORATION OF DAMAGED IMAGES

    Article • Springer Science + Business Media

    Prof. Vaclav Skala

  118. A new line clipping algorithm with hardware acceleration

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  119. Adaptive edge spinning algorithm for polygonization of implicit surfaces

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  120. Parallel triangular mesh decimation without sorting

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala

  121. The hash function and the principle of duality

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Vaclav Skala