Energies of curves and surfaces together with their discrete variants play a prominent role as fairness functionals in geometric modeling and computer aided geometric design. This ...
Length and area regularization are commonplace for inverse problems today. It has however turned out to be much more difficult to incorporate a curvature prior. In this paper we pr...
Given an algebraic hypersurface O in Êd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the...
This note conjectures that if two surface patches intersect with G1 continuity along an entire curve, the probability is one that the curve is rational. This idea has significance...
Abstract. In this work, we find meaningful parameterizations of cortical surfaces utilizing prior anatomical information in the form of anatomical landmarks (sulci curves) on the s...
Lok Ming Lui, Sheshadri Thiruvenkadam, Yalin Wan...