A considerable issue in designing catadioptric imaging systems is what shape the component mirrors should be formed. In this paper, we propose a new algorithm for a catadioptric imaging system that satisfies the desired projection using a free-form mirror. A free-form mirror expressed as an assembly of gradients is a flexible surface representation that can form various shapes including non-smo...

In the 21 st century, as free-form design gains popularity, free-form grid shells are becoming a universal structural solution, enabling merger of structure and façade into a single layer – a skin [1]. This paper shows some of the results of a research project concerned with the optimization of grid structures over some predefined free form shape, with the goal of generating a stable and static...

In this paper, we prove the semidecidability of the problem of saying whether or not a context-free grammar generates a regular language. We introduce the notion of contextfree grammar in Marciani Normal Form. We prove that a context-free grammar in Marciani Normal Form always generates a regular language. CCS Concepts •Theory of computation → Grammars and contextfree languages;

While it is possible to model a general closed surface of arbitrary genus as a single implicit surface patch, the geometry of such a global surface is di cult to specify, interactively control, and polygonize. The main di culties stem from the fact that implicit representations are iso-contours which generally have multiple real sheets, self{intersections and several other undesirable singulari...

The process of modelling is much easier, if mathematical description of an abject, or at least of part of an object may be applied. In the first case, however, a mathematical description of the object may be unavailable. One way of solution, is to use as a model the coordinates of the infinitely many points of the object, but this is not feasible for a computer with finite storage. More often, ...

Free-form deformations (FFDs) have long been a popular tool in modeling and key-frame animation. This paper extends the use of FFDs to a dynamic setting. A goal of this work is to enable normally rigid objects, such as teapots and tables, to come alive and learn to move about. Objects are assigned mass distributions and deformation properties, which allow them to translate, rotate, and deform a...

We present a new code assistance tool for integrated development environments. Our system accepts free-form queries allowing a mixture of English and Java as an input, and produces Java code fragments that take the query into account and respect syntax, types, and scoping rules of Java as well as statistical usage patterns. The returned results need not have the structure of any previously seen...

In this paper, we propose a novel algorithm to evaluate the possible point matches established by the traditional ICP algorithm in the process of matching two overlapping free form surfaces represented as two sets of unorganised points. While the existing methods mainly use feature matching to establish or evaluate possible correspondences between the surfaces to be matched, our novel approach ...

In this article we discuss the 2D-3D pose estimation problem of 3D free-form surface models. In our scenario we observe free-form surface models in an image of a calibrated camera. Pose estimation means to estimate the relative position and orientation of the 3D object to the reference camera system. The object itself is modelled as a twoparametric surface model which is represented by Fourier ...

Free-form deformations (FFDs) are a popular tool for modeling and keyframe animation. This paper extends the use of FFDs to a dynamic setting. Our goal is to enable normally inanimate graphics objects, such as teapots and tables, to become animated, and learn to move about in a charming, cartoon-like manner. To achieve this goal, we implement a system that can transform a wide class of objects ...