Abstract: A marking tool has pigmented material integrally formed into a marker tool shape with various corners and edges that are usefully deployable. A planar body has spaced preferably parallel faces defining a thickness, and spaced peripheral sides oriented orthogonally to the faces. One or more sides can be curved. A number of straight or curved edges are formed between the faces and sides, with corners where three surfaces intersect and form a point. Some of the surfaces are segments that can be passed perpendicularly, at an incline or along the line of the edge to vary mark thickness. The marker is useful for drawing and shading when sketching, making lines in construction trades, arts, rubbing to trace bas-relief patterns, etc.

Abstract: Improved methods and apparatus for implementing JPEG 2000 MQ encoding operations are described. The following features of the invention may be used alone or in combination to implement JPEG 2000's coefficient bit modeling 1) Lists of coefficients to be processed in one or more subsequent coding passes are generated as coefficients are processed. The list is allows processing in the subsequent coding pass to be limited to coefficients on the list; and 2) Generation, updating and use of a neighborhood descriptor value table that stores a neighborhood descriptor value for each coefficient of a block being processed. The neighborhood descriptor values provide information about the state of the coefficient and its adjacent neighbors. Neighborhood descriptor values are used to access a lookup table that provides one or more context values and/or sign value to be used in MQ encoding.

Abstract: Improved methods and apparatus for implementing JPEG 2000 MQ encoding operations are described. The following features of the invention may be used alone or in combination to implement JPEG 2000's coefficient bit modeling 1) Lists of coefficients to be processed in one or more subsequent coding passes are generated as coefficients are processed. The list is allows processing in the subsequent coding pass to be limited to coefficients on the list; and 2) Generation, updating and use of a neighborhood descriptor value table that stores a neighborhood descriptor value for each coefficient of a block being processed. The neighborhood descriptor values provide information about the state of the coefficient and its adjacent neighbors. Neighborhood descriptor values are used to access a lookup table that provides one or more context values and/or sign value to be used in MQ encoding.

Abstract: Color image transform coding methods and apparatus which take advantage of redundant information which is normally present in the luminance and chrominance components of a color image are described. The transform coding method of the present invention, can normally provide increased compression and/or better image quality at a given coding data rate than conventional JPEG or JPEG 2000 coding which does not use the transform of the present invention as part of the color component coding process. These benefits are normally achieved without generating more coefficients than would be generated in the case of more conventional coding such as JPEG or JPEG 2000 coding. In fact, the transform of the present invention can be applied to increase the coding efficiency of coding systems which perform spatial transforms and modeling and entropy coding operations of the type normally used in JPEG and/or JPEG 2000 coding systems.