Results 31 to 40 of about 32,621 (175)
Rational cubic trigonometric exponential Bézier curve
The cubic trigonometric basis functions are constructed by including two exponential functions with five shape parameters and a tension parameter. Also, the properties of the basis functions are discussed.
Jagriti Sharma, Mridula Dube
core +1 more source
To improve the area-preserving parameterization quality of rational Bézier surfaces, an optimization algorithm using bilinear reparameterization is proposed.
Xiaowei Li +5 more
doaj +1 more source
Democratising Multi‐Projector Displays
Spatially augmented reality (SAR) transforms large, surround, collaborative experiences out of VR/AR headsets to the real world by merging content from projectors with the physical environment. This detailed state‐of‐the‐art survey reports on the advancements in multi‐projector aggregation and hardware technologies used to achieve SAR and build ...
Aditi Majumder, Muhammad Twaha Ibrahim
wiley +1 more source
Basis Networks: Learning basis functions for free‐form triangulations
Abstract We present a framework for learning compactly supported basis functions that define tangent continuous surfaces based on coarse irregular triangle meshes. The basis functions are represented as MLPs. Smoothness of the basis functions is achieved by using the values of Loop basis functions as the parameterization of the surface.
T. Djuren, M. Alexa
wiley +1 more source
Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis
Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
wiley +1 more source
Curvatures of the quadratic rational Bézier curves
We find necessary and sufficient conditions for the curvature of a quadratic rational Bézier curve to be monotone in [0, 1], to have a unique local minimum, to have a unique local maximum, and to have both extrema in (0, 1), and we also visualize them in
Kim, H.O., Ahn, Y.J.
core +1 more source
Parallel Vectors Extraction using Bézier Clipping
Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley +1 more source
Volume of Hill Estimation for Engineering Earth Work
This study centralizes on the development of volume estimation calculation platform for earth engineering work. Estimation and comparison were done by using Foresight Civil Design and Survey (CDS) and Mathematica 7.0 software.
Nordianah Jusoh +6 more
doaj
Smooth joining of spline curves ensuring a high order of smoothness
Smoothly blending two curves is one of the fundamental and complex problems of geometric modeling in computer-aided design systems. This article proposes a method for constructing a smoothly blended curve between two spline curves of arbitrary format and
V. G. Mufteev +2 more
doaj +1 more source
Space cutter compensation method for five-axis nonuniform rational basis spline machining
In view of the good machining performance of traditional three-axis nonuniform rational basis spline interpolation and the space cutter compensation issue in multi-axis machining, this article presents a triple nonuniform rational basis spline five-axis ...
Yanyu Ding +4 more
doaj +1 more source

