We derive 3-D tomographic maps of the Earth's mantle, CMB and outer core, from seismic P, PcP, PKPbc, PKPdf travel time data, based on the bulletins of the International Seismological Centre (1964--1995), after source relocation by Antolik et al. <2001> and phase re-identification by Engdahl et al. <1998>. Maps of the CMB derived independently from core-reflected (PcP) or core-refracted (PKP) phases are not well correlated. We attempt to explain this discrepancy, and study the radial coherence of whole-Earth tomographic images, to identify possible trade-offs between CMB undulations and velocity anomalies in the mantle or outer core. Imaged velocity anomalies in the lowermost mantle are anticorrelated with the topography of the CMB; likewise, imaged lateral heterogeneities in the outer core are correlated with the topography of the CMB. This, together with the study of Piersanti et al. <2001>, suggests that the core anomalies might not be entirely fictitious.