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01/09/2023
Line-Torus Intersection for Ray Tracing: Alternative Formulations
Intersection algorithms are very important in computation of geometrical...
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01/04/2023
A Comparison of Fundamental Methods for Iso-surface Extraction
In this paper four fundamental methods for an iso-surface extraction are...
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01/04/2023
Robust Surface Reconstruction from Orthogonal Slices
The surface reconstruction problem from sets of planar parallel slices r...
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12/27/2022
Poseidon: Non-server WEB Forms Off-line Processing System
The proposed Poseidon system is based on email services of filled forms ...
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12/22/2022
HS-Patch: A New Hermite Smart Bicubic Patch Modification
Bicubic four-sided patches are widely used in computer graphics, CAD/CAM...
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12/22/2022
BS-Patch: Constrained Bezier Parametric Patch
Bezier parametric patches are used in engineering practice quite often, ...
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12/22/2022
S-patch: Modification of the Hermite parametric patch
A new modification of the Hermite cubic rectangular patch is proposed: t...
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11/08/2022
Summation Problem Revisited – More Robust Computation
Numerical data processing is a key task across different fields of compu...
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09/04/2022
Algorithm for Finding an Exact Maximum Distance in E2 with Oexp(N) Complexity: Analysis and Experimental Results
This paper describes a novel and fast, simple and robust algorithm with ...
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08/26/2022
Polar, Spherical and Orthogonal Space Subdivisions for an Algorithm Acceleration: O(1) Point-in-Polygon/Polyhedron Test
Acceleration of algorithms is becoming a crucial problem, if larger data...
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08/07/2022
Fast O_expected(N) Algorithm for Finding Exact Maximum Distance in E^2 Instead of O(N^2) or O(N lg N)
This paper describes novel and fast, simple and robust algorithm with O(...
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08/07/2022
New Geometric Continuity Solution of Parametric Surfaces
This paper presents a new approach to computation of geometric continuit...
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08/07/2022
A New Approach to Line-Sphere and Line-Quadrics Intersection Detection and Computation
Line intersection with convex and un-convex polygons or polyhedron algor...
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08/07/2022
Point-in-Convex Polygon and Point-in-Convex Polyhedron Algorithms with O(1) Complexity using Space Subdivision
There are many space subdivision and space partitioning techniques used ...
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08/07/2022
A New Robust Algorithm for Computation of a Triangle Circumscribed Sphere in E3 and a Hypersphere Simplex
There are many applications in which a bounding sphere containing the gi...
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08/07/2022
Projective Geometry, Duality and Plucker Coordinates for Geometric Computations with Determinants on GPUs
Many algorithms used are based on geometrical computation. There are sev...
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06/27/2022
Clipping and Intersection Algorithms: Short Survey and References
This contribution presents a brief survey of clipping and intersection a...
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01/03/2022
Line Clipping in E3 with Expected Complexity O(1)
A new line clipping algorithm against convex polyhedron in E3 with an ex...
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01/03/2022
Two New Algorithms for Line Clipping in E2 and Their Comparison
Many algorithms for clipping a line by a rectangular area or a convex po...
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01/03/2022
A New Algorithm for Pyramidal Clipping of Line Segments in E3
A new algorithm for clipping a line segment against a pyramid in E3 is p...
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01/03/2022
Two Methods for Iso-Surface Extraction from Volumetric Data and Their Comparison
There are various methods for extracting iso-surfaces from volumetric da...
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11/15/2021
A Comparison of O(1) and Cyrus-Beck Line Clipping Algorithms in E2 and E3
A comparison of a new algorithm for line clipping in E2 and E3 by convex...
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09/06/2018
Determination of Stationary Points and Their Bindings in Dataset using RBF Methods
Stationary points of multivariable function which represents some surfac...
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06/20/2018
Big Geo Data Surface Approximation using Radial Basis Functions: A Comparative Study
Approximation of scattered data is often a task in many engineering prob...
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06/20/2018
Radial Basis Function Approximations: Comparison and Applications
Approximation of scattered data is often a task in many engineering prob...
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04/18/2018
A New Radial Basis Function Approximation with Reproduction
Approximation of scattered geometric data is often a task in many engine...
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01/01/2018
Least Square Error Method Robustness of Computation: What is not usually considered and taught
There are many practical applications based on the Least Square Error (L...
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01/01/2018
O(lgN) Line Clipping Algorithm in E2
A new O(lg N) line clipping algorithm in E2 against a convex window is p...
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01/01/2018
A Fast Algorithm for Line Clipping by Convex Polyhedron in E3
A new algorithm for line clipping against convex polyhedron is given. Th...
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01/01/2018
A Comparative Study of LOWESS and RBF Approximations for Visualization
Approximation methods are widely used in many fields and many techniques...
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07/28/2017
Fractions, Projective Representation, Duality, Linear Algebra and Geometry
This contribution describes relationship between fractions, projective r...
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07/28/2017
Continuous Global Optimization in Surface Reconstruction from an Oriented Point Cloud
We introduce a continuous global optimization method to the field of sur...
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07/28/2017