We investigate 3D shape reconstruction from measurement data in the presence of constraints. The constraints may fix the surface type or set geometric relations between parts of an object’s surface, such as orthogonality, parallelity and others. It is proposed to use a combination of surface fitting and registration within the geometric optimization framework of squared distance minimization (S...

In this work we address the question of how to exploit typical architectural structures to improve recovery for CAD modeling of built environments from 3D data. In doing so we have examined the applicability of the GENOCOP III algorithm to the model fitting. The algorithm uses explicit domain knowledge, specifically geometric constraints in the form of parameterized surface models and an Euclid...

This paper proposes an advanced cut-and-paste editing for three-dimensional models. We introduce a new parameterization technique based on constrained B-spline surface/volume fitting. Our cut-and-paste editing is performed on this parameterization. In our method, a parametric volume is generated so that its isoparametric surface fits to the base surface and the volume bounds the detail. Our vol...

Locating and classifying quadric surfaces is a significant step in the recognition of 3D manufactured objects because quadric surfaces are commonly occuring shapes in man-made products. Surface fitting based on the input sample data point set is an effective strategy for quadric surface recognition. Two algorithms of quadric surface fitting that are especially useful for hyperboloid and parabol...

Separation of the femur head and acetabulum is one of main difficulties in the diseased hip joint due to deformed shapes and extreme narrowness of the joint space. To improve the segmentation accuracy is the key point of existing automatic or semi-automatic segmentation methods. In this paper, we propose a new method to improve the accuracy of the segmented acetabulum using surface fitting tech...

Constructing a CAD model from a physical model plays a key role in some productdevelopment processes. To be presented is an “indirect” method of fitting NURBS-surfaces for rotational-freeform shapes: 1) Cloud-of-points data representing a rotational-freeform shape are transformed into an orthogonal-coordinate (sphericalor cylindrical-) system, 2) a single-valued Bspline surface is fitted to the...

Since 3D medical images such as SPECT and MRI are taken under different patients positioning and imaging parameters, interpretation of them, as reconstructed originally, does not provide an easy and accurate understanding of similarities and differences between them. The problem becomes more crucial where a clinician would like to map accurately region of interest from one study to the ot...