Logical/Linear Operators for Image Curves
نویسندگان
چکیده
We propose a language for designing image measurement operators suitable for early vision. We refer to them as logical/linear (L/L) operators, since they unify aspects of linear operator theory and boolean logic. A family of these operators appropriate for measuring the low-order diierential structure of image curves is developed. These L/L operators are derived by decomposing a linear model into logical components to ensure that certain structural preconditions for the existence of an image curve are upheld. Tangential conditions guarantee continuity, while normal conditions select and categorize contrast prooles. The resulting operators allow for coarse measurement of curvilinear diierential structure (orientation and curvature) while successfully segregating edge-and line-like features. By thus reducing the incidence of false-positive responses, these operators are a substantial improvement over (thresholded) linear operators which attempt to resolve the same class of features. Software: A portable implementation of the methods described below is avail-Acknowledgements: We thank Allan Dobbins and Ben Kimia for their contributions and insights, and Pietro Perona for use of thèPaolina' image. Research supported by grants from the AFOSR, MRC and NSERC. c 1995 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
منابع مشابه
Logical Operators for Ontological Modeling
We show that logic has more to offer to ontologists than standard first order and modal operators. We first describe some operators of linear logic which we believe are particularly suitable for ontological modeling, and suggest how to interpret them within an ontological framework. After showing how they can coexist with those of classical logic, we analyze three notions of artifact from the l...
متن کاملLogical Operators for Texture Image Analysis
In this paper, logical operators are used for analyzing texture properties and an algorithm is presented for texture image classification. Operators constructed from logical building blocks are convolved with texture images. An optimal set of six operators are selected based on their texture discrimination ability. The responses are then converted to standard deviation matrices computed over a ...
متن کاملHigh Speed Full Swing Current Mode BiCMOS Logical Operators
In this paper the design of a new high-speed current mode BiCMOS logic circuits isproposed. By altering the threshold detector circuit of the conventional current mode logic circuitsand applying the multiple value logic (MVL) approach the number of transistors in basic logicoperators are significantly reduced and hence a reduction of chip area and power dissipation as wellas an increase in spee...
متن کاملSynthesis of Logical Clifford Operators via Symplectic Geometry
Quantum error-correcting codes can be used to protect qubits involved in quantum computation. This requires that logical operators acting on protected qubits be translated to physical operators (circuits) acting on physical quantum states. We propose a mathematical framework for synthesizing physical circuits that implement logical Clifford operators for stabilizer codes. Circuit synthesis is e...
متن کاملHow to Extract the Geometry and Topology from Very Large 3D Segmentations
Segmentation is often an essential intermediate step in image analysis. A volume segmentation characterizes the underlying volume image in terms of geometric information–segments, faces between segments, curves in which several faces meet–as well as a topology on these objects. Existing algorithms encode this information in designated data structures, but require that these data structures fit ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- IEEE Trans. Pattern Anal. Mach. Intell.
دوره 17 شماره
صفحات -
تاریخ انتشار 1995