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Showing 1 to 6 of 6 for “"Computer-aided geometric design"”.
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Rational Cubic B-Spline Interpolation and Its Applications in Computer Aided Geometric Design
… have recently become very popular tools for the design of curves and surfaces. If the weights are positive then the NURB will lie in the convex hull of its control points and will not possess singularities. Thus it is desirable to have positive weights.</p> <p>In utilizing a NURB a designer may …
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Theory and algorithms for swept manifold intersections
Recent developments in such fields as computer aided geometric design, geometric modeling, and computational topology have generated a spate of interest towards geometric objects called swept volumes. Besides their great applicability in various practical areas, the mere geometry and topology of …
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Accurate, fast, and robust 3D city-scale reconstruction using wide area motion imagery
Multi-view stereopsis (MVS) is a core problem in computer vision, which takes a set of scene views together with known camera poses, then produces a geometric representation of the underlying 3D model Using 3D reconstruction one can determine any object's 3D profile, as well as knowing the 3D …
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High-order adaptive methods for computing invariant manifolds of maps
… interpolation/approximation techniques from geometric modeling. He uses Bezier curves/triangles, fundamental objects in curve/surface design, to create adaptive methods. The methods are based on tolerance conditions derived from properties of Bezier curves/triangles. The author develops and …
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T-Spline Simplification
This work focuses on generating approximations of complex T-spline surfaces with similar but less complex T-splines. Two approaches to simplifying T-splines are proposed: a bottom-up approach that iteratively refines an over-simple T-spline to approximate a complex one, and a top-down approach that …
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Splines on polytopal complexes
… contexts, ranging from approximation theory and computer-aided geometric design to equivariant cohomology and GKM theory. A primary goal in approximation theory is to construct bases of the vector space $C^r_d(\PC)$ of splines of degree at most $d$ on $\PC$, although even computing the dimension …