An apparatus (100; 200) for processing 3D video data using inter-view prediction, the apparatus (100; 200) comprising a processor (101; 201) configured to: obtain a reconstructed depth information value of a reconstructed depth information video coding block associated to a reference depth information map of a reference view, wherein reconstructed depth information values of the reference depth information map are quantized according to a predetermined reference quantization comprising a predetermined number of quantization levels, each quantization level representing a different depth information value; obtain a reduced range information associated to the reference depth information map, wherein the reduced range information defines a reduced range of depth quantization levels available for the inter-view prediction within the range of quantization levels defined by the predetermined reference quantization; process a reconstructed depth information value of the reconstructed depth information video coding block associated to the reference view using a depth information value adaptation function to obtain an adapted reconstructed depth information value of the reconstructed depth information video coding block, wherein the adapted reconstructed depth information value corresponds to the reconstructed depth information value of the reconstructed depth information video coding block or a further processed version thereof, and wherein the depth information value adaptation function is based on the reduced range information and is configured to increase a number of quantization levels available to represent adapted reconstructed depth information values associated to reconstructed depth information values within the reduced range; apply a spatial filter to the adapted reconstructed depth information value of the reconstructed depth information video coding block associated to the reference view to obtain a spatially filtered adapted reconstructed depth information value of the reconstructed depth information video coding block associated to the reference view, wherein the spatial filter is an edge preserving smoothing filter; and generate a predicted texture video coding block of a dependent texture frame associated with a dependent view on the basis of the spatially filtered adapted reconstructed depth information value of the reconstructed depth information video coding block associated to the reference view and a corresponding reconstructed texture video coding block of a reference texture frame associated to the reference view; and generate a predicted depth information video coding block of a dependent depth information map associated with the dependent view on the basis of the adapted reconstructed depth information value of the reconstructed depth information video coding block associated to the reference view. obtain a reconstructed depth information value of a reconstructed depth information video coding block associated to a reference depth information map of a reference view, wherein reconstructed depth information values of the reference depth information map are quantized according to a predetermined reference quantization comprising a predetermined number of quantization levels, each quantization level representing a different depth information value; obtain a reduced range information associated to the reference depth information map, wherein the reduced range information defines a reduced range of depth quantization levels available for the inter-view prediction within the range of quantization levels defined by the predetermined reference quantization; process a reconstructed depth information value of the reconstructed depth information video coding block associated to the reference view using a depth information value adaptation function to obtain an adapted reconstructed depth information value of the reconstructed depth information video coding block, wherein the adapted reconstructed depth information value corresponds to the reconstructed depth information value of the reconstructed depth information video coding block or a further processed version thereof, and wherein the depth information value adaptation function is based on the reduced range information and is configured to increase a number of quantization levels available to represent adapted reconstructed depth information values associated to reconstructed depth information values within the reduced range; apply a spatial filter to the adapted reconstructed depth information value of the reconstructed depth information video coding block associated to the reference view to obtain a spatially filtered adapted reconstructed depth information value of the reconstructed depth information video coding block associated to the reference view, wherein the spatial filter is an edge preserving smoothing filter; and generate a predicted texture video coding block of a dependent texture frame associated with a dependent view on the basis of the spatially filtered adapted reconstructed depth information value of the reconstructed depth information video coding block associated to the reference view and a corresponding reconstructed texture video coding block of a reference texture frame associated to the reference view; and generate a predicted depth information video coding block of a dependent depth information map associated with the dependent view on the basis of the adapted reconstructed depth information value of the reconstructed depth information video coding block associated to the reference view.