Numerical implicitization for intersection and G n -continuous blending of surfaces

TL;DR: The normalform h=0 of a curve (surface) is a generalization of the Hesse normalform of a line in R2 (plane in R3) that was introduced and applied to curve and surface design in recent papers.

TL;DR: This paper proposes an active model to solve the curve reconstruction problem, where the point clouds are approximated by an implicit B-spline curve, i.e., the zero set of a bivariate tensor-product B- Spline function.

TL;DR: It is shown that the quality of an approximate distance field may be characterized locally near the boundary by its order of normalization and can be studied in terms of the field derivatives.

TL;DR: In this paper, the authors used the PHOEBE model to model the light curve of an eclipsing binary star with an early F primary and G secondary in a 20.85-d eccentric orbit.

TL;DR: A classic reference and text, this book introduces the foundations used to create an accurate computer screen image using mathematical tools.

TL;DR: The focus here is on blossoming the process of converting a polynomial to its polar form as a natural, purely geometric explanation of the behavior of curves and surfaces.

TL;DR: The intention of this paper is to introduce a marching method to build a mesh of triangles successively by starting with a point or a prescribed polygon, applicable to any surface for which foot points can be determined.

TL;DR: It is shown that algebraic blending surfaces (surfaces that smoothly join two or more surfaces) have a very specific form and any polynomial whose zero set blends the zero sets of several other polynomials is always expressible as a simple combination of these polynoms.