Abstract: A method determines at least one image value of a corresponding desired output position of an output image from an input image. An orientation of an edge passing through the output position is determined in a localised region of the input image. A frequency spectrum for the region of the input image is extended. A main frequency band of the edge is aligned in the extended frequency spectrum parallel to a first sampling axis of a grid based on the orientation of the edge. The grid is selected from a set of the input and output grids. The aligned main frequency band is filtered along a second sampling axis of the grid, orthogonal to the first sampling axis, the filter removing frequencies associated with replica bands and maintaining the main frequency band. The image value is determined from the filtered edge at the desired output position.

Abstract: Disclosed is a method of rendering a radial gradient blend defined by a gradient function. The method identifies respective first and second radial limits for a point of the radial gradient blend, the respective first and second radial limits having known blend values and receives an estimated value of the gradient function for the point. The method determines a direction from the estimated value to an ideal value, wherein the ideal value is a value of the gradient function for the point and modifies the estimated value, based on the direction of the ideal value. The method checks the ideal value is within a predetermined threshold of the estimated value and stores a determined blend value for the point by interpolating between the known blend values of the respective first and second radial limits on the basis of the modified estimated value of the gradient function, to render the radial gradient blend.

Abstract: Disclosed is a method of rendering a radial gradient blend defined by a gradient function. The method identifies respective first and second radial limits for a point of the radial gradient blend, the respective first and second radial limits having known blend values and receives an estimated value of the gradient function for the point. The method determines a direction from the estimated value to an ideal value, wherein the ideal value is a value of the gradient function for the point and modifies the estimated value, based on the direction of the ideal value. The method checks the ideal value is within a predetermined threshold of the estimated value and stores a determined blend value for the point by interpolating between the known blend values of the respective first and second radial limits on the basis of the modified estimated value of the gradient function, to render the radial gradient blend.

Abstract: A method determines at least one image value of a corresponding desired output position of an output image from an input image. An orientation of an edge passing through the output position is determined in a localised region of the input image. A frequency spectrum for the region of the input image is extended. A main frequency band of the edge is aligned in the extended frequency spectrum parallel to a first sampling axis of a grid based on the orientation of the edge. The grid is selected from a set of the input and output grids. The aligned main frequency band is filtered along a second sampling axis of the grid, orthogonal to the first sampling axis, the filter removing frequencies associated with replica bands and maintaining the main frequency band. The image value is determined from the filtered edge at the desired output position.

Abstract: Disclosed is a method of rendering a radial gradient blend defined by a gradient function. The method identifies respective first and second radial limits for a point of the radial gradient blend, the respective first and second radial limits having known blend values and receives an estimated value of the gradient function for the point. The method determines a direction from the estimated value to an ideal value, wherein the ideal value is a value of the gradient function for the point and modifies the estimated value, based on the direction of the ideal value. The method checks the ideal value is within a predetermined threshold of the estimated value and stores a determined blend value for the point by interpolating between the known blend values of the respective first and second radial limits on the basis of the modified estimated value of the gradient function, to render the radial gradient blend.