This work concerns the incorporation of geometric information in camera calibration and 3D modelling. Using geometric constraints enables stabler results and allows to perform tasks with fewer images. Our approach is interactive; the user defines geometric primitives and constraints between them. It is based on the observation that constraints such as coplanarity, parallelism or orthogonality, ...

AbstructWe investigate a very general subset of 2-D, orthogonal, compactly supported wavelets. This subset includes all the wavelets with a corresponding wavelet (polyphase) matrix that can be factored as a product of factors of degree-1 in one variable. In this paper, we consider, in particular, wavelets with vanishing moments. The number of vanishing moments that can be aichieved increases wi...

A priori object information like parallelism and perpendicularity can be very useful for 3D-reconstruction, especially in architectural photogrammetry. With digital close-range imagery parallelism of object lines can be exploited by applying automatic vanishing point detection. This image analysis technique allows the detection of parallel object lines and leads to their spatial orientation in ...

For images taken in man-made scenes, vanishing points and focal length of camera play important roles in scene understanding. In this paper, we present a novel method to quickly, accurately and simultaneously estimate three orthogonal vanishing points (TOVPs) and focal length from single images. Our method is based on the following important observations: If we establish a polar coordinate syst...

For systems with a finite number of degrees of freedom, it is shown in [1] that first class constraints are Abelianizable if the FaddeevPopov determinant is not vanishing for some choice of subsidiary constraints. Here, for irreducible first class constraint systems with SO(3) or SO(4) gauge symmetries, including a subset of coordinates in the fundamental representation of the gauge group, we e...

We investigate a very general subset of two-dimensional, orthogonal, compactly supported wavelets. This subset includes all the wavelets with a corresponding wavelet (polyphase) matrix that can be factored as a product of factors of degree-1 in one variable. In this paper we consider in particular wavelets with vanishing moments. The number of vanishing moments that can be achieved increases wi...

This paper presents the 3D reconstruction of planar objects using the normal vector of plane and vanishing points from a single panoramic image. We get the geometric information of plane or line with feature points which use the constraints of coplanarity, perpendicularity and parallelism of planes or lines. We describe the 3D reconstruction about any features using the properties of vanishing ...

This paper mainly focuses on the problem of camera calibration and 3D reconstruction from a single view of structured scene. It is well known that three constraints on the intrinsic parameters of a camera can be obtained from the vanishing points of three mutually orthogonal directions. However, there usually exist one or several pairs of line segments, which are mutually orthogonal and lie in ...