Texture Analysis in Materials Science Mathematical Methods focuses on the methodologies, processes, techniques, and mathematical aids in the orientation distribution of crystallites. The manuscript first offers information on the orientation of individual crystallites and orientation distributions. Topics include properties and representations of rotations, orientation distance, and ambiguity of rotation as a consequence of crystal and specimen symmetry. The book also takes a look at expansion of orientation distribution functions in series of generalized spherical harmonics, fiber textures, and methods not based on the series expansion. The publication reviews special distribution functions, texture transformation, and system of programs for the texture analysis of sheets of cubic materials. The text also ponders on the estimation of errors, texture analysis, and physical properties of polycrystalline materials. Topics include comparison of experimental and recalculated pole figures; indetermination error for incomplete pole figures; and determination of the texture coefficients from anisotropie polycrystal properties. The manuscript is a dependable reference for readers interested in the use of mathematical aids in the orientation distribution of crystallites.

Providing a comprehensive and invaluable overview of the basics of crystallographic textures and their industrial applications, this book covers a broad range of both structural and functional materials. It introduces the existing methods of representation in an accessible manner and presents a thorough overview of existing knowledge on texture of metallic materials. Texture analysis has widespread use in many industries, and provides crucial input towards the development of new materials and products. There has been rapid growth in the science and art of texture analysis in the last few decades. Other topics addressed within this book include recent research on texture in thin films and non-metals, and the dependence of material properties on texture, and texture control in some engineering materials. This book constitutes an invaluable reference text for researchers and professionals working on texture analysis in metallurgy, materials science and engineering, physics and geology. By using content selectively, it is also highly accessible to undergraduate students.

The very significant advances in computer vision and pattern recognition and their applications in the last few years reflect the strong and growing interest in the field as well as the many opportunities and challenges it offers. The second edition of this handbook represents both the latest progress and updated knowledge in this dynamic field. The applications and technological issues are particularly emphasized in this edition to reflect the wide applicability of the field in many practical problems. To keep the book in a single volume, it is not possible to retain all chapters of the first edition. However, the chapters of both editions are well written for permanent reference.

This volume provides an introduction to the texture analysis of deformed materials and explores methods of determining and interpreting the preferred orientation of crystals in deformed polycrystalline aggregates.**The book reviews: 1) the techniques, procedures, and theoretical basis for the accumulation and analysis of orientation data; 2)the processes by which polycrystals deform and the microstructural mechanisms responsible for the development of the preferred orientation; 3) the textures in specific systems and application of principles to the solution of specific problems.**With a combination of metallurgic and geologic applications, Preferred Orientation in Deformed Metals and Rocks: An Introduction to Modern Texture Analysis will be an important source book for students and researchers in materials science, solid state physics, structural geology, and geophysics.**FROM THE PREFACE: Determination and interpretation of the preferred orientation of crystals in deformed polycrystalline aggregates (in this volume also referred to as texture) has been of longstanding concern to both materials scientists and geologists. A similar theoretical background--such as the dislocation theory of crystal plasticity--has been the basis of understanding flow in metals and rocks; and similar determinative techniques--including microscopy and x-ray diffraction--have been used to study textures and microstructures. Whereas many of the fundamental principles have been established early this century by scientists such as Jeffery, Sachs, Sander, Schmid, Schmidt, and Taylor, only in recent years has knowledge reached a level that provides a quantitative framework which has replaced a largely phenomenological approach. This is expressed in the sudden new emphasis on textural studies, as documented by the large number of recent publications.**This volume contains material to serve as an introduction for those who wish to enter this field as well as reviews for those who are already engaged in advanced research....**The book is divided into three parts. The first (Chapters 2*b17) deals with techniques, procedures, and theoretical bases for the accumulation and analysis of orientation data. The second (Chapters 8*b112) introduces processes by which polycrystals deform and the microstructural mechanisms responsible for the development of the preferred orientation. All those chapters emphasize basic principles and apply to metals as well as to minerals. The third part (Chapters 13*b126) illustrates textures in specific systems and the application of the principles set out in the earlier chapters to the solution of specific problems. Readers of these chapters will quickly become aware that metals have been more exhaustively studied than minerals; but they will also realize that, because of their structural symmetry, metals are in general much simpler than rocks and that the intepretation of metal textures is less involved. An extensive list of relevant references provides access to much of the original literature on textures....

The first edition of Introduction to Texture Analysis: Macrotexture, Microtexture, and Orientation Mapping broke new ground by collating seventy years worth of research in a convenient single-source format. Reflecting emerging methods and the evolution of the field, the second edition continues to provide comprehensive coverage of the concepts, pra

Texture analysis is one of the fundamental aspects of human vision by which we discriminate between surfaces and objects. In a similar manner, computer vision can take advantage of the cues provided by surface texture to distinguish and recognize objects. In computer vision, texture analysis may be used alone or in combination with other sensed features (e.g. color, shape, or motion) to perform the task of recognition. Either way, it is a feature of paramount importance and boasts a tremendous body of work in terms of both research and applications.Currently, the main approaches to texture analysis must be sought out through a variety of research papers. This collection of chapters brings together in one handy volume the major topics of importance, and categorizes the various techniques into comprehensible concepts. The methods covered will not only be relevant to those working in computer vision, but will also be of benefit to the computer graphics, psychophysics, and pattern recognition communities, academic or industrial.