NURBS-based geometric inverse reconstruction of free-form shapes

Free-form splines combining NURBS and basic shapes

We show how to combine, into one unified spline complex, C2 tensorproduct bi-cubic NURBS and G2 bi-cubic rational splines. The G2 splines are capable of exactly representing basic shapes such as (pieces of) quadrics and surfaces of revolution, including tori and cyclides. The main challenge is to bridge the differing continuity. We transform the G2 splines to splines that are C2 in homogeneous ...

NURBS-based Inverse Reflector Design

Commonly used direct rendering techniques simulate light transport for a complete scene, specified in terms of light sources, geometry, materials, participating media, etc. On the other hand, inverse rendering problems take as input a desired light distribution and try to find the unknown parts of the scene needed to get such light field. The latter kind, where inverse reflector design is inclu...

Free Form Shape Representation Using NURBS Modeling

The representation, matching and analysis of objects of interest are of prime importance in shape-based retrieval systems. Considering that these systems involve analysis of various complex shapes, an accurate representation of free form shape is required. A simple and accurate shape representation procedure would ensure meaningful results from the shape-based retrieval systems. Motivated by th...

Reconstruction of free-form space curves using NURBS-snakes and a quadratic programming approach

Article history: Received 6 May 2013 Received in revised form 21 November 2014 Accepted 4 January 2015 Available online 13 January 2015

Geometric and Visual Reconstruction of Binary Shapes